You will be able to view and patch 360 spherical Panorama in Photoshop 3D feature. You will not be able to stitch seamless 360 spherical panorama with Photoshop. They Are normally shot with fisheye lens and stitched with specialized stitching software. Photomerge and Photoshop stitching will not be able to do a good stitching job.

I stitched 13 5MP shots done on a tripod into a 360+ Cylindrical Panorama and trimmed the ends to make it a 360 one and added gray canvas for the missing sky and ground. I a made it a 3d Spherical panorama for viewing in Photoshop 3D feature, The final seam was better than I thought it would be,